Portuguese defender Vieirinha fired in a 49th-minute winner for the Champions League quarter-finalists last season who had a 1-0 lead from the first leg.
The 31-year-old raced on to a loose ball and blasted it home for the crucial away goal after Ken Reichel missed a great chance for Eintracht in the first half.
Eintracht will stay in the second tier of the Bundesliga where they will be joined next year by relegated Ingolstadt and Darmstadt.
Terry Paul
Paul Terry is a publisher and an author in wowplus.net and other news channel
